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Finding the Fourth Proportional to 190,895.70, 286,343.55 and 97,389.30

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Solution

The fourth proportional to 190,895.70, 286,343.55 and 97,389.30 is: 146,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,895.70 : 286,343.55 = 97,389.30 : x
  2. Step 2: Convert to fraction form
    190,895.70/286,343.55 = 97,389.30/x
  3. Step 3: Cross multiply
    190,895.70x = 286,343.55 × 97,389.30
  4. Step 4: Simplify right side
    190,895.70x = 27,886,797,894.02
  5. Step 5: Solve for x
    x = 27,886,797,894.02/190,895.70
  6. Step 6: Final answer
    x = 146,083.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.